Several population studies have demonstrated an inverse correlation of the rate of sudden infant death syndrome (SIDS) with birth weight. The occurrence of SIDS in one of a pair of twins provided the opportunity to test the hypothesis that birth weight is a major determinant of SIDS. Using the data (obtained from hospital records), determine if the birth weight of the twin who died from SIDS differed significantly from the birth weight of the twin who did not die. [Adapted from Peterson, Univ. of WA; data altered.]. Perform a hypothesis test, but also include a descriptive histogram of the raw data and determine Pearson correlation.
Q1. Birth weights (g) of twins where one twin died of Sudden Infant Death Syndrome (SID)
| SID |
Non-SID |
| 1474 |
2098 |
| 3657 |
3119 |
| 3005 |
3515 |
| 2041 |
2126 |
| 2325 |
2211 |
| 2296 |
2750 |
| 3430 |
3402 |
| 3515 |
3232 |
| 1956 |
1701 |
| 2098 |
2410 |
| 3204 |
2892 |
| 2381 |
2608 |
| 2892 |
2693 |
| 2920 |
3232 |
| 3005 |
3005 |
| 2268 |
2325 |
| 3260 |
3686 |
| 3260 |
2778 |
| 2155 |
2552 |
| 2835 |
2693 |
| 2466 |
1899 |
| 3232 |
3714 |
| 1701 |
1956 |
| 2580 |
2438 |
| 2750 |
2807 |
| 1956 |
1843 |
| 1871 |
2041 |
| 2296 |
2183 |
| 2268 |
2495 |
| 2070 |
1673 |
| 1786 |
1843 |
| 3175 |
3572 |
| 2495 |
2778 |
| 1956 |
1588 |
| 2296 |
2183 |
| 3232 |
2778 |
| 1446 |
2268 |
| 1559 |
1304 |
| 2835 |
2892 |
| 2495 |
2353 |
| 1559 |
2466 |
- State which test you are using. State the cut-off value (?) you are using, if not provided.
- State assumptions that need to be made, and test for them.
- State the number of tails; justify one-tailed tests (if needed)
- State the null and alternative hypotheses.
- Calculate the test score, and give the corresponding p-value
- State if you accept or reject the null hypothesis